{
 "cells": [
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-06-06T02:33:20.316195Z",
     "start_time": "2025-06-06T02:33:19.122927Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from sklearn.decomposition import KernelPCA\n",
    "from sklearn.datasets import make_circles\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 创建一个玩具数据集\n",
    "X, _ = make_circles(n_samples=400, factor=.3, noise=.05)\n",
    "\n",
    "# 设置KPCA参数\n",
    "kpca = KernelPCA(kernel=\"rbf\", gamma=15, n_components=2)\n",
    "\n",
    "# 拟合并转换数据\n",
    "X_kpca = kpca.fit_transform(X)\n",
    "\n",
    "# 绘制结果\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "# 原始数据\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.title(\"Original space\")\n",
    "reds = _ == 0\n",
    "blues = _ == 1\n",
    "plt.scatter(X[reds, 0], X[reds, 1], c=\"red\", s=20, edgecolor='k')\n",
    "plt.scatter(X[blues, 0], X[blues, 1], c=\"blue\", s=20, edgecolor='k')\n",
    "plt.xlabel(\"$x_1$\")\n",
    "plt.ylabel(\"$x_2$\")\n",
    "\n",
    "# 核PCA后的数据\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.title(\"Projection by KPCA\")\n",
    "plt.scatter(X_kpca[reds, 0], X_kpca[reds, 1], c=\"red\", s=20, edgecolor='k')\n",
    "plt.scatter(X_kpca[blues, 0], X_kpca[blues, 1], c=\"blue\", s=20, edgecolor='k')\n",
    "plt.xlabel(\"Principal Component 1\")\n",
    "plt.ylabel(\"Principal Component 2\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "id": "340426d2b19ce95",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-06-06T02:33:20.332169Z",
     "start_time": "2025-06-06T02:33:20.326171Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "d15d797694dffc5b",
   "outputs": [],
   "execution_count": null
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
